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Finding the Fourth Proportional to 372.75, 559.15 and 311.77

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Solution

The fourth proportional to 372.75, 559.15 and 311.77 is: 467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.75 : 559.15 = 311.77 : x
  2. Step 2: Convert to fraction form
    372.75/559.15 = 311.77/x
  3. Step 3: Cross multiply
    372.75x = 559.15 × 311.77
  4. Step 4: Simplify right side
    372.75x = 174,326.20
  5. Step 5: Solve for x
    x = 174,326.20/372.75
  6. Step 6: Final answer
    x = 467.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.